This paper presents a new framework for computing the rate distortion function.
We give a general optimal transport framework named CommOT to formulate this problem.
To solve the CommOT model, we propose the AS algorithm and test it under some classical sources, e.g. binary, Gaussian, and Laplacian sources.
The numerical results based on the AS algorithm agree well with the analytical solution in all those cases.
Based on our proposed model and algorithm, we expect that the CommOT framework can be applied to various theoretical bounds in communication theory, such as the rate distortion perception trade-off [1]} and the information bottleneck problem [2]}.
